cx4

Fourth 10/4 scale <10 16 23 28| epimorphic

Open in Scale Workshop Scala analysis Download scl

Properties

Notes10
Period1200.0 ¢
Just7-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11450.html#11450
Thread4 scales
Tone Tone (¢) Step Step (¢)
35/32 155 35/32 155
9/8 204 36/35 49
5/4 386 10/9 182
21/16 471 21/20 84
35/24 653 10/9 182
3/2 702 36/35 49
105/64 857 35/32 155
7/4 969 16/15 112
15/8 1088 15/14 119
2 1200 16/15 112

Parent scales

FileNotesMax diff (¢)
xen13-grady-sophia 14 0.0
cpak15 15 0.0
cpak19 19 0.0
quasi-phillips 19 5.1
zeus24 24 2.1
euler20 20 5.1
steldek1 30 0.0
xen02-wilson-combination-sets 32 0.0
euler24 24 5.1
xen18-erlich-orwell-31 31 3.6

Child scales

FileNotesMax diff (¢)
ninelim 5 0.0
keen6 5 3.0
Central_African_Republic_Guinahui 5 12.1
Indonesia_Lipurtambaneng 5 14.8
CD10_12_Egypt 5 18.5
xen18-erlich-superpyth-05 5 18.6
Indonesia_Madumurti 5 20.1
China_Flute_04 7 22.0
Cambodia_Pentatonic_01 5 22.0
Indonesia_Sadadpengasih 5 22.1
Mailing list post 
From: Gene Ward Smith (2004-08-30)
Subject: Five ten-note, four tetrad epimorphic scales

I thought there were six, but my list had a duplicate. The first is
known to Scala as erlich11, "Canonical JI interpretation of the
Symmetrical decatonic mode of 22-tET". 

! cx1.scl
First 10/4 scale = erlich11 <10 16 23 28| epimorphic
10
!
15/14
7/6
5/4
4/3
10/7
3/2
5/3
7/4
15/8
2

! cx2.scl
Second 10/4 scale <10 16 23 28| epimorphic
10
!
15/14
7/6
5/4
4/3
7/5
3/2
5/3
7/4
15/8
2

! cx3.scl
Third 10/4 scale <10 16 23 28| epimorphic
10
!
21/20
9/8
5/4
21/16
10/7
3/2
5/3
7/4
15/8
2

! cx4.scl
Fourth 10/4 scale <10 16 23 28| epimorphic
10
!
35/32
9/8
5/4
21/16
35/24
3/2
105/64
7/4
15/8
2

! cx5.scl
Fifth 10/4 scale <10 17 24 29| epimorphic
10
!
49/48
7/6
6/5
5/4
7/5
35/24
3/2
12/7
7/4
2
Full thread (2 messages) 
From: Gene Ward Smith (2004-08-30)
Subject: Five ten-note, four tetrad epimorphic scales

I thought there were six, but my list had a duplicate. The first is
known to Scala as erlich11, "Canonical JI interpretation of the
Symmetrical decatonic mode of 22-tET". 

! cx1.scl
First 10/4 scale = erlich11 <10 16 23 28| epimorphic
10
!
15/14
7/6
5/4
4/3
10/7
3/2
5/3
7/4
15/8
2

! cx2.scl
Second 10/4 scale <10 16 23 28| epimorphic
10
!
15/14
7/6
5/4
4/3
7/5
3/2
5/3
7/4
15/8
2

! cx3.scl
Third 10/4 scale <10 16 23 28| epimorphic
10
!
21/20
9/8
5/4
21/16
10/7
3/2
5/3
7/4
15/8
2

! cx4.scl
Fourth 10/4 scale <10 16 23 28| epimorphic
10
!
35/32
9/8
5/4
21/16
35/24
3/2
105/64
7/4
15/8
2

! cx5.scl
Fifth 10/4 scale <10 17 24 29| epimorphic
10
!
49/48
7/6
6/5
5/4
7/5
35/24
3/2
12/7
7/4
2
From: Carl Lumma (2004-08-30)
Subject: Re: [tuning-math] Five ten-note, four tetrad epimorphic scales

>! cx1.scl
>First 10/4 scale = erlich11 <10 16 23 28| epimorphic
>10
>!
>15/14
>7/6
>5/4
>4/3
>10/7
>3/2
>5/3
>7/4
>15/8
>2
>
>! cx2.scl
>Second 10/4 scale <10 16 23 28| epimorphic
>10
>!
>15/14
>7/6
>5/4
>4/3
>7/5
>3/2
>5/3
>7/4
>15/8
>2
>
>! cx3.scl
>Third 10/4 scale <10 16 23 28| epimorphic
>10
>!
>21/20
>9/8
>5/4
>21/16
>10/7
>3/2
>5/3
>7/4
>15/8
>2
>
>! cx4.scl
>Fourth 10/4 scale <10 16 23 28| epimorphic
>10
>!
>35/32
>9/8
>5/4
>21/16
>35/24
>3/2
>105/64
>7/4
>15/8
>2
>
>! cx5.scl
>Fifth 10/4 scale <10 17 24 29| epimorphic
>10
>!
>49/48
>7/6
>6/5
>5/4
>7/5
>35/24
>3/2
>12/7
>7/4
>2

I'd guess that these are all equivalent under pajara.

-Carl

Raw file

! cx4.scl
Fourth 10/4 scale <10 16 23 28| epimorphic
10
!
35/32
9/8
5/4
21/16
35/24
3/2
105/64
7/4
15/8
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11450.html#11450
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_9945-12429.json
! topic_id = 11450
! msg_id = 11450